If PA and PB are tangents to the circle with centre O such

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If PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then∠OAB is equal to

1. 25°
2. 30°
3. 40°
4. 50°

Correct Option: A

As per the given in question , we draw a figure of circle with centre O in which PA and PB are tangents

PA = PB (tangents from an exterior point)
OA = OB = radii
Given , ∠APB = 50°
∠APO = ∠OPB = 25°

∠PAB = ∠PBA =	130°	= 65°
	2

∠OAP = 90°
∴ ∠OAB = 90° – 65° = 25°